Abstract

Analytical or numerical solutions are given for the kinetic equations describing the time behavior of a solid photochromic film for the cases of photocoloration, photobleaching, and thermal bleaching. A procedure to evaluate relative quantum yields and absorption cross sections from the comparison of experimental results with theoretical solutions is demonstrated by an example using 6-nitro-8 piperidinomethyl-1′,3′,3′-trimethylspiro-[1H-benzopyran-2,2′-indoline] as a photochromic compound. The theoretical results are presented in a suitably normalized form to be applicable to a broad range of experimental situations. The agreement between calculated and measured results is good as long as strictly first-order reaction mechanisms are obeyed.

© 1973 Optical Society of America

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